Graph the inequality.?

Question

2x + 3y > 6

Haven't a clue please help.

Answer 1

Solve for y:
2x + 3y > 6
-2x
3y > 6 - 2x
/3
y > 2 -2/3x

Change > to =:
y=2-2/3x

Graph It

Choose a point on the Plane:
EX(0,0)

Change = back to >
y>2-2/3x

Replace y and x with the point coordinates you chose
0>2-2/3(0)

If its true shade that side of the graph

Answer 2

First, solve for y:

2 x + 3y > 6
3y > -2x + 6 subtract 2x from both sides
y > (-2/3)x + 2 divide both sides by 3

Now graph the dotted line represented by this inequality. On a piece of graph paper, draw the x and y axes. Put a dot at (0,2) which is the y-intersect, and from this dot go down 2 units and to the right 3 units, and make another dot. Draw a dotted line through these two points. Shade above and to the right of this line. The shaded area represents the solutions to this inequality.

Answer 3

solve for y

2x + 3y > 6

3y> 6-2x

y > 2-x


2. just graph that like y=2-x

3. test a number either to the left or right of the line ... usually the point (0,0) works best, unless its on the line...

so: substitute (0,0)
0 > 2-0
0 > 2

since 0 is not greater than 2, shade in the opposite side of the graph...

just for future reference.. if this particular equation came out correct.. uhm if 0 WAS greater than 2.. everything to that side of the line would be shaded in...

4. last thing!
when graphign inequalities... if its a "greater-than" or "less-than" graph.. the line will be dotted
if its a "greater-than or equal to" or "less-than or equal to" then the line is solid...

i hope this helps!

Answer 4

get y by itself:
2x+3y>6
-2x -2x
_________

3y>-2x+6
/3 /3
_______

y>(-2/3)x+2

your y-intercept is 2. go up 2 on the y-axis (vertical axis) and plot a point at (0,2)

your slope is -2/3. from (0,2) go down 2 right 3 to (3,0), and plot it. now go down another 2 and right 3 to (6,-2) and plot it. Connect these three points with a dashed line since it is greater than not greater than or equal to. once you have a dashed line, you need to shade in everything below the line.

Answer 5

2x+3y>6
-2x

{3y>6-(2x)}/3

y>2-(2/3x) put this into a graphing calc.

or pay closer attention in class

Answer 6

this is not an answer...but people from 8th grade to parents of 9th graders have been stumped on simple things such as the y= mx+b formula...